# geometry

Two vertical poles 20 meterd and 30 metrrd high, are 60 meters apart. A rope is to be attached from the top of one pole to a point on the ground half-way between the poles and then to the top of other pole. How long a rope is needed?

1. 👍
2. 👎
3. 👁
1. Draw a diagram. You have two right triangles with legs
20,30 and 30,30
The rope length is the sum of the two hypotenuses:
√(20^2+30^2) + √(30^2+30^2)
= 10√13 + 30√2

1. 👍
2. 👎

## Similar Questions

1. ### Math

A 90 N boy is hanging on a rope that extends between two poles. Find the tension of the 2 ropes. The angles were 5 and 10 degrees

2. ### Physics

On a hot summer day, a young girl swings on a rope above the local swimming hole. When she lets go of the rope her initial velocity is 2.25m/s at an angle of 35.0 above the horizontal. If she is in flight for 0.616sec, how high

3. ### physics

A gymnast of mass 61.0 kg hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. How do I calculate the tension T in the rope if the gymnast hangs

4. ### Pre - Cal

) The main cables of a suspension bridge are 20 meters above the road at the towers and 4 meters above the road at the center. The road is 80 meters long. Vertical cables are spaced every 10 meters. The main cables hang in the

1. ### physics

A heavy box is pulled across a wooden floor with a rope. The rope forms an angle of 60.0o with the floor. A tension of 80.0N is maintained on the rope. What are the horizontal and vertical components of the force?

2. ### algebra

A rope is cut into three and one-third is used. Then one-fourth of the remaining rope is cut off and used. The piece left is 6 meters long. How many meters long was the rope originally?

3. ### kjkj

A gymnast of mass 56.0kg hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. Use the value 9.81m/s2 for the acceleration of gravity.Calculate the

4. ### Physics

Hi I really need this question answer as a check: a helicopter holding a 70 kilogram package suspended from a rope 5.0 meters long accelerates upward at a rate of 5.2 m/s^2. a. Determine tension on the rope. b. When the upward

1. ### Science - Physical

Earth's magnetic field induces some degree of magnetism in most of the iron objects around you. With a compass you can see that cans of food on you pantry shelf have north and south poles. When you pass the compass from their

2. ### physics

2. A heavy box is pulled across a wooden floor with a rope. The rope forms an angle of 60.0°with the floor. A tension of 80.0° N maintained on the rope. What are the horizontal and vertical components of the force?

3. ### Geometry

Zoe the goat is tied by a rope to one corner of a 15 meter-by-25 meter rectangular barn in the middle of a large grassy field. Over what area of the field can Zoe graze if the rope is 10 meters long? 20 meters long? 30 meters

4. ### Mathematics,sum of difference

A rope is cut in half and one half is used.Then one fifth of the remaining rope is cut off and used for another purpose.the piece of the rope left is 12 meters long.How long was the rope originally?